Auto-execution Cycles Node Trees
After all I didn't find solution for Cycles Nodetree. I'm sure that such behavior is due NodeGroup and can't work in different way at the moment.

Like Omar Ahmad has advised before, I had rewrite some code and create new Subprogram inside Animation Node tree. When Auto Execution is enabled it allows to see all changes in viewport without active animation, in real-time, even those that are inside NodeGroups.

Be careful if your nodetree has a lot calculations this action can reduce your performance. Use another AN NodeTree for such things. I have attached example below: